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Finding the Third Proportional to 728,960 and 1,577,728

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Solution

The third proportional to 728,960 and 1,577,728 is: 3,414,763.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,960 : 1,577,728 = 1,577,728 : x
  2. Step 2: Convert to fraction form
    728,960/1,577,728 = 1,577,728/x
  3. Step 3: Cross multiply
    728,960x = 1,577,728 × 1,577,728
  4. Step 4: Simplify right side
    728,960x = 2,489,225,641,984
  5. Step 5: Solve for x
    x = 2,489,225,641,984/728,960
  6. Step 6: Final answer
    x = 3,414,763.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.